Question

chip is a robot that follows commands to move on a number line. this time, the commands include fractions with denominators that are not multiples of each other. for each set of commands, help chip find its new location. command 1: start at $\frac{1}{5}$. move $\frac{1}{2}$ to the right. what is a common denominator for $\frac{1}{5}$ and $\frac{1}{2}$? 2 5 10

Explanation:

Step1: Find common denominator

The common - denominator of 5 and 2 is 10 since \(5\times2 = 10\).

Step2: Rewrite fractions with common denominator

Rewrite \(\frac{1}{5}\) as \(\frac{1\times2}{5\times2}=\frac{2}{10}\) and \(\frac{1}{2}\) as \(\frac{1\times5}{2\times5}=\frac{5}{10}\).

Step3: Calculate new position

We start at \(\frac{1}{5}=\frac{2}{10}\) and move \(\frac{1}{2}=\frac{5}{10}\) to the right. So the new position is \(\frac{2}{10}+\frac{5}{10}=\frac{2 + 5}{10}=\frac{7}{10}\).

Answer:

\(\frac{7}{10}\)